OUTSIDE CHANCE(54A. Remote possibility … or a hint to 20-, 29- and 44-Across), along with CHAN/CE, CHA/NCE, and CH/ANCE found in CHANTILLY LACE(20A. Big Bopper hit), CHAINLINK FENCE(29A. Barrier with a diamond pattern) and CHURCH OF FRANCE(44A. Group overseeing Notre Dame Cathedral) are the interrelated group of this Wednesday crossword.

Other — GOTHIC(2D. Notre Dame’s architectural style),HOME IN ON and LOOK INTO, LEASH LAW(40D. Ordinance aimed at pet owners),NEUROSIS(38D. Phobic disorder, e.g.),POST TIME(5D. When racehorses are at the gate),TONY SNOW(8D. Press secretary under George W. Bush).